Partnership

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  1. A and B started a business by investing ₹ 20000 and ₹ 25000, respectively. After 4 months B left and C joined by investing ₹ 15000. At the end of the year, there was a profit of ₹ 23000 What is C's share ?










  1. View Hint View Answer Discuss in Forum

    A's share : B's share : C's share
    = (20000 x 12) : (25000 x 4) : (15000 x 8)
    = 240000 : 100000 : 120000
    = 24 : 10 : 12 = 12 : 5 : 6
    Let A's share = 12N
    B's share = 5N
    C's share = 6N

    According to the question.
    12N + 5N + 6N = 23000

    Correct Option: C

    A's share : B's share : C's share
    = (20000 x 12) : (25000 x 4) : (15000 x 8)
    = 240000 : 100000 : 120000
    = 24 : 10 : 12 = 12 : 5 : 6
    Let A's share = 12N
    B's share = 5N
    C's share = 6N

    According to the question.
    12N + 5N + 6N = 23000
    ⇒ 23N = 23000
    ∴ N = 23000/23 = 1000
    ∴ C's share = 6N = 6 x 1000 = ₹ 6000

  1. A and B started a business by investing ₹ 35000 and ₹ 20000, respectively. After 5 months B left the business and C joined the business with a sum of ₹ 15000. The profit earned at the end of year is ₹ 84125. What is the share of B in profit ?










  1. View Hint View Answer Discuss in Forum

    Ratio of equivalent capitals of A, B and C = (35000 x 12) : (20000 x 5) : (15000 x 7)
    = 35 x 12 : 20 x 5 : 15 x 7
    = 84 : 20 : 21
    Let A's share = 84N
    B's share = 20N
    C's share = 21N
    According to the question,
    84N + 20N + 21N = 84125

    Correct Option: C

    Ratio of equivalent capitals of A, B and C = (35000 x 12) : (20000 x 5) : (15000 x 7)
    = 35 x 12 : 20 x 5 : 15 x 7
    = 84 : 20 : 21
    Let A's share = 84N
    B's share = 20N
    C's share = 21N
    According to the question,
    84N + 20N + 21N = 84125
    ⇒ 125N = 84125
    ⇒ N = 84125/125 = 673
    ∴ B's share = 20N = (20 x 673) = ₹ 13460

  1. A and B entered a partnership investing ₹ 16000 and ₹ 12000, respectively. After 3 months A takes out ₹ 5000, while B puts in ₹ 5000 more. After 3 months more. C joins the business with a capital of ₹ 21000. After a year, they earned a profit of ₹ 13200. By what value does the share of B exceeds the share of C ?








  1. View Hint View Answer Discuss in Forum

    A's share : B's share : C's share
    = [16000 x 3 + (16000 - 5000) x 9] : [12000 x 3 + (12000 + 5000) x 9] : (21000 x 6)
    = (16 x 3 + 11 x 9) : (12 x 3 + 17 x 9) : (21 x 6)
    = 147 : 189 : 126
    = 7 : 9 : 6

    Correct Option: B

    A's share : B's share : C's share
    = [16000 x 3 + (16000 - 5000) x 9] : [12000 x 3 + (12000 + 5000) x 9] : (21000 x 6)
    = (16 x 3 + 11 x 9) : (12 x 3 + 17 x 9) : (21 x 6)
    = 147 : 189 : 126
    = 7 : 9 : 6

    Hence, B's share exceeds C's share by = {13200/(7 + 9 + 6)} x (9 - 6)
    = (13200 x 3)/22
    = ₹ 1800

  1. A and B started a joint business. A's investment was thrice the investment of B and the period of his investment was twice the period of investment of B. If B got ₹ 6000 as profit, then what will be the 20% of total profit ?










  1. View Hint View Answer Discuss in Forum

    Let investment of B be a for b months.
    Then, A's investment = 3a for 2b months
    ∴ A : B = (3a x 2b) : (a x b) = 6ab : ab = 6 : 1

    Let the total profit = m.
    Then. m x 1/7 = 6000

    Correct Option: B

    Let investment of B be a for b months.
    Then, A's investment = 3a for 2b months
    ∴ A : B = (3a x 2b) : (a x b) = 6ab : ab = 6 : 1

    Let the total profit = m.
    Then. m x 1/7 = 6000
    ∴ m = 6000 x 7 = ₹ 42000
    ∴ 20% of 42000 = ₹ 8400

  1. Amitabh, Brijesh and Kamlesh enter a partnership with shares in the ratio of 7/2 : 4/3 : 6/5. After 4 months, Amitabh increases his share by 50% If the total profit at the end of the year be ₹ 21600, what will be the share of Brijesh in the profit ?








  1. View Hint View Answer Discuss in Forum

    Given. ratio = 7/2 : 4/3 : 6/5
    = (7/2) x 30 : (4/3) x 30 : (6/5) x 30
    = 105 : 40 : 36

    Let investment of Amitabh = 105k
    Investment of Kamlesh = 36k

    Ratio of their investments
    = [105k x 4 + 150% x8 of 105k] : (40k x 12) : (36k x 12)
    = (420k + (150/100) x 105k x 8) : (480k) : (432k)
    = (1680k) : (480k) : (432k)
    = 35 : 10 : 9

    Correct Option: C

    Given. ratio = 7/2 : 4/3 : 6/5
    = (7/2) x 30 : (4/3) x 30 : (6/5) x 30
    = 105 : 40 : 36

    Let investment of Amitabh = 105k
    Investment of Kamlesh = 36k

    Ratio of their investments
    = [105k x 4 + 150% x8 of 105k] : (40k x 12) : (36k x 12)
    = (420k + (150/100) x 105k x 8) : (480k) : (432k)
    = (1680k) : (480k) : (432k)
    = 35 : 10 : 9

    ∴ Brijesh's share
    = (21600 x 10) / (35 + 10 + 9)
    = (21600 x 10) / 54
    = ₹ 4000